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Finding the Fourth Proportional to 34,675.30, 51,978.23 and 17,157.86

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Solution

The fourth proportional to 34,675.30, 51,978.23 and 17,157.86 is: 25,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,675.30 : 51,978.23 = 17,157.86 : x
  2. Step 2: Convert to fraction form
    34,675.30/51,978.23 = 17,157.86/x
  3. Step 3: Cross multiply
    34,675.30x = 51,978.23 × 17,157.86
  4. Step 4: Simplify right side
    34,675.30x = 891,835,193.39
  5. Step 5: Solve for x
    x = 891,835,193.39/34,675.30
  6. Step 6: Final answer
    x = 25,719.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.